Question

Given AB =6 and BD =8, find the value of x

Answer 1

Answer: x=10

Explanation:

Find AD by making a 90 degree triangle with segments AB and BD

a=6 b= 8 c= c

`a^(2)+b^(2) =c^(2)`

`6^(2) +8^(2) =c^(2) \\36+64=c^(2) \\100=c^(2) \\10=c`

AD is = to 10- AD is also the radius of the circle. since x is also the radius of the circle, it is also 10